Greatest Common Factor of 34/24, 61/85, 996/21

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 34/24, 61/85, 996/21

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 34/24,61/85,996/21

Given fractions are 34/24,61/85,996/21

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 34,61,996

Greatest Common Factor of Numerators i.e. GCF of 34,61,996 is 1 .

LCM of Denominators means LCM of 24,85,21 as per the given fractions.

LCM of 24,85,21 is 14280 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 34,61,996

GCF of Fractions 34/24,61/85,996/21 is 1/14280

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 34,61,996 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,61,996 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 996

List of positive integer factors of 996 that divides 996 without a remainder.

1,2,3,4,6,12,83,166,249,332,498,996

Greatest Common Factor

We found the factors 34,61,996 . The biggest common factor number is the GCF number.
So the greatest common factor 34,61,996 is 1.

Lets's calculate LCM of 24,85,21

3 24, 85, 21
8, 85, 7

∴ So the LCM of the given numbers is 3 x 8 x 85 x 7 = 14280

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14280

Therefore, the GCF of Fractions 34/24,61/85,996/21 is 1/14280

Least Common Multiple of 24,85,21 with GCF Formula

Least Common Multiple of 24,85,21 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 24,85,21 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,85,21) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(24,85,21) x common factors =1 x 3 = 3

LCM(24,85,21) = ( 24 × 85 × 21 ) / 3

LCM(24,85,21) = 42840 / 3

LCM(24,85,21) = 14280


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 34/24, 61/85, 996/21

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 34/24, 61/85, 996/21?

Answer: GCF of Numerators as per given numbers 34/24, 61/85, 996/21 is

GCF of Numerators i.e. for 34,61,996 is 1

LCM of denominators i.e. for 24,85,21 is 14280.

Thus, GCF of Fractions is 1/14280.Finally, GCF of Fractions for 34/24, 61/85, 996/21 is 1/14280.